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105650130 = 23571193257
BaseRepresentation
bin1100100110000…
…01011111010010
321100210120201210
412103001133102
5204021301010
614252240550
72422003605
oct623013722
9240716653
10105650130
1154700563
122b470156
1318b71491
141006233c
15941db20
hex64c17d2

105650130 has 64 divisors (see below), whose sum is σ = 259469568. Its totient is φ = 27525120.

The previous prime is 105650123. The next prime is 105650137. The reversal of 105650130 is 31056501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105650123) and next prime (105650137).

It is a super-2 number, since 2×1056501302 = 22323899938033800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105650097 and 105650106.

It is not an unprimeable number, because it can be changed into a prime (105650137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 410962 + ... + 411218.

It is an arithmetic number, because the mean of its divisors is an integer number (4054212).

Almost surely, 2105650130 is an apocalyptic number.

105650130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105650130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129734784).

105650130 is an abundant number, since it is smaller than the sum of its proper divisors (153819438).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105650130 is a wasteful number, since it uses less digits than its factorization.

105650130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531.

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 105650130 is about 10278.6249080312. The cubic root of 105650130 is about 472.7410824256.

The spelling of 105650130 in words is "one hundred five million, six hundred fifty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 71 142 193 213 257 355 386 426 514 579 710 771 965 1065 1158 1285 1542 1930 2130 2570 2895 3855 5790 7710 13703 18247 27406 36494 41109 49601 54741 68515 82218 91235 99202 109482 137030 148803 182470 205545 248005 273705 297606 411090 496010 547410 744015 1488030 3521671 7043342 10565013 17608355 21130026 35216710 52825065 105650130